Simeon Vugalter
Absence of the Efimov Effect in a Homogenous Magnetic Field
The paper is published: Lett. Math. Phys. 37, 1 (1996) 79-94

MSC:

47N50 Applications in quantum physics

81V10 Electromagnetic interaction; quantum electrodynamics

Abstract: A system of three identical particles in a homogeneous magnetic field
is studied. It is shown that the hamiltonian of this system with
short-range potentials after the separation of the center of mass motion
has finite discrete spectrum for each fixed type $m$ of the rotational
$(SO(2))$ symmetry.

Keywords: system of three identical particles in a homogeneous magnetic field, Hamiltonian, short-range potentials, center of mass motion, finite discrete spectrum